Mathematics 2nd Year book (Class 12) is published by the Punjab Curriculum and Textbook Board (PCTB), Lahore. Officially titled Calculus and Analytic Geometry, this book is the standard FSC Part 2 Mathematics textbook used across Punjab Board colleges. It covers seven units from Functions and Limits to Vectors.
For FSC Part 2 students, this book is the main resource for the board Mathematics paper. It builds directly on Class 11 concepts and goes deeper into calculus, analytic geometry, and linear programming. The PDF lets students revise key theorems, practice integration and differentiation problems, and prepare thoroughly before the final board exam.
Book Overview
- Class: 12 (FSC Part 2 / Second Year)
- Subject: Mathematics (Calculus and Analytic Geometry)
- Category: FSC
- Board: Punjab Board (PCTB, Lahore)
- Total Chapters: 7
- Format: PDF
Chapter List
Unit 1 – Functions and Limits
Reviews types of functions and introduces limits of functions rigorously. Covers one-sided limits, continuity, and theorems on limits with worked examples and exercises.
Unit 2 – Differentiation
Covers derivatives from first principles, rules of differentiation, higher-order derivatives, implicit differentiation, and applications including maxima, minima, and related rates.
Unit 3 – Integration
Introduces indefinite and definite integrals, standard integration formulas, techniques (substitution, integration by parts), and applications to area under curves.
Unit 4 – Introduction to Analytic Geometry
Covers the straight line in Cartesian coordinates — slope, equations of lines, distance formulas, angle between lines, and family of lines.
Unit 5 – Linear Inequalities and Linear Programming
Explains systems of linear inequalities, feasible regions, graphical method of solving linear programming problems, and finding optimal solutions.
Unit 6 – Conic Section
Covers the circle, parabola, ellipse, and hyperbola — their standard equations, properties, and geometric interpretations. Includes problem-solving with conics.
Unit 7 – Vectors
Introduces vectors in 2D and 3D space, vector operations, dot and cross products, scalar triple product, and applications in geometry and physics.
Download Mathematics Class 12 Book PDF
Three editions are available below. Click the button for the edition you need — each opens in a new tab and is ready to read or save on any device.
Latest Edition (2020 onwards)
⬇ Download PDF (2020 Edition)E-Learn Punjab Edition
⬇ Download PDF (E-Learn Punjab)Old Edition
⬇ Download PDF (Old Edition)Who Should Read This
This book is for FSC Part 2 (Second Year) Pre-Engineering and Pre-Medical students preparing for the Punjab Board annual exam. It is also essential for ECAT preparation, as calculus, analytic geometry, vectors, and conic sections from this book are heavily tested. Students aiming for engineering and technology programmes will find this book especially important.
Applicable Boards
This textbook is published by PCTB and is used in Punjab Board colleges. Students from the Federal Board (FBISE) and AJK Board can also use it, as the FSC Part 2 Mathematics syllabus is largely the same. Students from Sindh and KPK boards will find most chapters relevant as well.
FAQs
Is this the Mathematics book for FSC Part 2 Punjab Board?
Yes. It is the official PCTB textbook titled Calculus and Analytic Geometry, used for FSC Part 2 (Class 12) in Punjab Board colleges.
How many chapters are in Mathematics Class 12?
There are 7 units: Functions and Limits, Differentiation, Integration, Analytic Geometry, Linear Programming, Conic Section, and Vectors.
Which edition should I download?
Download the 2020 edition if your college follows the latest PCTB curriculum. The chapter content is the same across all editions — only minor printing updates differ.
Is this book useful for ECAT preparation?
Yes. Calculus, conic sections, vectors, and linear programming from this book are directly tested in ECAT for engineering university admissions.
Can Federal Board students use this book?
Yes. The FSC Part 2 Mathematics syllabus is very similar for Punjab and Federal boards. Federal Board students can use this book for additional practice.
Is the PDF free to download?
Yes. All three editions of the Mathematics Class 12 book PDF are completely free to download and read on any device.